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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 230 · 40 questions
TalentJR

The method (Prime factors): Write each number as a product of primes: 36 = 2 × 2 × 3 × 3. HCF: multiply the primes the numbers share (each as many times as it appears in both). LCM: take every prime the greatest number of times it appears. For two numbers, HCF × LCM = first number × second number.

NameDateTime takenScore ___ / 40
  1. 1.Find the LCM of 4 and 7.
  2. 2.Find the HCF of 12 and 8.
  3. 3.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  4. 4.Find the HCF of 70 and 28.
  5. 5.Find the LCM of 2, 15 and 3.
  6. 6.Find the LCM of 5, 15 and 14.
  7. 7.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  8. 8.Find the LCM of 8, 4 and 3.
  9. 9.Find the HCF of 16 and 72.
  10. 10.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  11. 11.Find the LCM of 14 and 18.
  12. 12.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  13. 13.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  14. 14.Find the LCM of 6 and 16.
  15. 15.Find the HCF of 32 and 20.
  16. 16.Find the LCM of 35 and 45.
  17. 17.Find the LCM of 10 and 4.
  18. 18.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  19. 19.Find the LCM of 6, 4 and 13.
  20. 20.Find the LCM of 6 and 27.
  21. 21.Find the HCF of 22 and 33.
  22. 22.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  23. 23.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  24. 24.Find the LCM of 6, 4 and 14.
  25. 25.Find the LCM of 20 and 8.
  26. 26.Find the LCM of 24 and 28.
  27. 27.Find the HCF of 42 and 28.
  28. 28.Find the LCM of 10 and 15.
  29. 29.Find the LCM of 3, 7 and 4.
  30. 30.Find the LCM of 16 and 28.
  31. 31.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  32. 32.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  33. 33.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  34. 34.Find the LCM of 11, 4 and 8.
  35. 35.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  36. 36.Find the LCM of 14, 5 and 4.
  37. 37.Find the LCM of 8 and 9.
  38. 38.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  39. 39.Find the HCF of 6 and 16.
  40. 40.Find the HCF of 56 and 48.

Answer key

  1. 28
  2. 4
  3. 8
  4. 14
  5. 30
  6. 210
  7. 8
  8. 24
  9. 8
  10. 16
  11. 126
  12. 30
  13. 14
  14. 48
  15. 4
  16. 315
  17. 20
  18. 72
  19. 156
  20. 54
  21. 11
  22. 63
  23. 49
  24. 84
  25. 40
  26. 168
  27. 14
  28. 30
  29. 84
  30. 112
  31. 16
  32. 28
  33. 72
  34. 88
  35. 18
  36. 140
  37. 72
  38. 14
  39. 2
  40. 8

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